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Equation 60 · Part 1 · The Bit Comes Back Before the Bearing

Symbol lambda_L

λL≤2π/β\lambda_L \le 2\pi/\beta
λL\lambda_L

What this part means

lambdaLa_L is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Its job in the formula

lambdaLa_L is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

The passage around this formula

…] . Maldacena, Shenker, and Stanford later proved the sharp version of the bound this conjecture leans on: the exponential growth rate of an out-of-time-order correlator, the operational signature of chaos, cannot exceed λL\lambda_L ≤\le 2π\pi/β\beta for a thermal system at inverse temperature β\beta , with a black hole horizon saturating the bound [ 3 ] . Combining a Lyapunov-limited spread over ln⁡\ln S e-foldings of the hole’s Bekenstein-Hawking entropy S gives the estimate

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